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Finding the Fourth Proportional to 4,278.39, 6,415.53 and 2,197.32

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Solution

The fourth proportional to 4,278.39, 6,415.53 and 2,197.32 is: 3,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.39 : 6,415.53 = 2,197.32 : x
  2. Step 2: Convert to fraction form
    4,278.39/6,415.53 = 2,197.32/x
  3. Step 3: Cross multiply
    4,278.39x = 6,415.53 × 2,197.32
  4. Step 4: Simplify right side
    4,278.39x = 14,096,972.38
  5. Step 5: Solve for x
    x = 14,096,972.38/4,278.39
  6. Step 6: Final answer
    x = 3,294.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.